Illustration of Understands, analyzes, represents, and applies functions in the ICLE's Rigor and Relevance Framework
Quadrant C

Consider this function:
i(t)=10(.95)t
Using different methods and different representations (tables, graphs, symbolic reasoning, and technology), determine i(40) in as many ways as possible. Analyze and evaluate each method and representation used. Include advantages and disadvantages of the different methods and representations.

 Quadrant D

Research medications used to help control diseases. Find data to build functions modeling the amount remaining in the bloodstream at various times. Determine the time needed for the next dose of medication.
Quadrant A

Consider this function:
i(t)=10(.95)t
Determine i(40)

 Quadrant B

Insulin is an important hormone produced by the body. In 5% to 10% of all diagnosed cases of diabetes, the disease is due to the body's inability to produce insulin; therefore requiring people with the disease to take medicine containing insulin. Once insulin gets to the bloodstream, it begins to break down quickly. After 10 units of insulin are delivered to a person's bloodstream, the amount remaining after t minutes might be modeled by the following function: i(t)=10(.95)t. Find the half-life of the insulin. Describe the practical and theoretical domain and range of the function i(t).